Right On! incorporates new wave and gothic rock elements alongside Lindberg's "signature Warpaint groove", according to the album's press release. The album features Lindberg's "breathy" vocals, which have been described as contributing to its overall "hazy and dreamy" sound.[2]

A one-minute teaser video, shot by Mia Kirby and Sierra Swan, was released on YouTube alongside Right On!'s announcement on September 15, 2015. Acting as the album's trailer, the video included clips of three album tracks: "Never", "Boom Boom" and "He Fresh".[3]

In a Pitchfork review, Jes Skolnik wrote that the record "owes quite a bit to '80s and '90s goth-leaning college rock but thankfully never feels like a direct tracing thereof".[8]The Guardian critic Rachel Aroesti said that "lead single 'Never' pairs a 'Transmission'-esque bassline with wayward drums, while 'Blind' presents droning, dismantled blues and 'Offerings' sounds like the work of a goth-rock Orange Juice".[6] Anna Alger of Exclaim! wrote that the record "cements [Lindberg's] place as an intuitive songwriter who knows how to craft complex, danceable songs as well as introspective, downtempo numbers."[5]NME reviewer Barry Nicolson said that the record emphasizes "mood over melody" and suggests that "it's something of a grower, whose charms are revealed like arcane secrets only to those with patience, persistence and a lack of proximity to heavy machinery".[7] Richard Godwin's Evening Standard review concluded that "the best of Right On! snaps along at a rapid pace, building from Peter Hook-esque bass figures played high up the fretboard and tumultuous drums ... mixed a little too low for floor-filling purposes but high enough to create an anxious, addictive groove".[4]